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distributed SCHEDULING OF SENSOR NETWORKS FOR IDENTIFICATION OF SPATIO-TEMPORAL PROCESSES

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE 2012年第2期22卷 299-311页

作者： Patan, Maciej Univ Zielona Gora Inst Control & Computat Engn PL-65246 Zielona Gora Poland

An approach to determine a scheduling policy for a sensor network monitoring some spatial domain in order to identify unknown parameters of a distributed system is discussed. Given a finite number of possible sites at which sensors are located, the activation schedule for scanning sensors is provided so as to maximize a criterion defined on the Fisher information matrix associated with the estimated parameters. The related combinatorial problem is relaxed through operating on the density of sensors in lieu of individual sensor positions. Then, based on the adaptation of pairwise communication algorithms and the idea of running consensus, a numerical scheme is developed which distributes the computational burden between the network nodes. As a result, a simple exchange algorithm is outlined to solve the design problem in a decentralized fashion.

关键词： distributed-parameter system parameter estimation running consensus scanning measurements sensor network

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Optimal Control of Nonlinear Objects of Engineering Thermophysics

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OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING 2012年第5期48卷 429-437页

作者： Rapoport, E. Ya. Pleshivtseva, Yu. E. Samara State Tech Univ Ul Molodogvardeyskaya 244 Samara 443100 Russia

The piecewise continuous (relay) nature of lumped control actions in problems of timeand energy-optimal control of a wide range of distributed-parameter nonlinear objects of engineering thermophysics is established. On this basis, the required programmed controls in a number of practical situations can be found by the proposed algorithmically precise (alternance) method. As an example, which is of independent interest, the problem of optimal control of nonlinear models of induction heating of metal semi-products before subsequent pressure treatment is considered..

关键词： optimal control engineering thermophysics distributed-parameter system time-domain optimization energy minimization relay control actions induction heating

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Motion planning for a piezo-actuated elastic Kirchhoff plate.

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ELEKTROTECHNIK UND INFORMATIONSTECHNIK 2012年第1期129卷 11-17页

作者： Meurer, T. Schroeck, J. Kugi, A. Tech Univ Wien Inst Automatisierungs & Regelungstech Gusshausstr 27-E376 A-1040 Vienna Austria

The motion planning problem is considered for a cantilevered orthotropic Kirchhoff plate with spatially varying coefficients and distributed piezoelectric patch actuators. For this, the spectral representation of the corresponding equations of motion is utilized to systematically construct a flatness-based parametrization of state and inputs. These enable a very intuitive motion planning to realize prescribed high-speed rest-to-rest motions. Moreover, the incorporation of weighted residuals approaches yields a very efficient computational implementation. Simulation results confirm the applicability of the design approach and the achievable tracking performance.

关键词： distributed-parameter system trajectory planning Kirchhoff plate differential flatness feedforward control weighted residuals adaptive wing

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Output regulation for linear distributed-parameter systems using finite-dimensional dual observers

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AUTOMATICA 2011年第11期47卷 2468-2473页

作者： Deutscher, Joachim Univ Erlangen Nurnberg Lehrstuhl Regelungstech D-91058 Erlangen Germany

In this article, the solution of the output regulation problem is considered for linear infinite-dimensional systems where the outputs to be controlled cannot be measured. It is shown that this problem can be solved by a finite-dimensional dual observer that is directly implementable so that the separation principle can be applied for the stabilization as in finite dimensions. A parametric design of these dual observers is proposed for Riesz-spectral systems that allows to achieve a low controller order and a desired control performance for the closed-loop system. The presented results are illustrated by determining a finite-dimensional regulator for an Euler-Bernoulli beam with Kelvin-Voigt damping that achieves tracking for steplike reference inputs and that asymptotically rejects sinusoidal disturbances. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Output regulation distributed-parameter system Finite-dimensional controller Dual observer Eigenvalue assignment Static output feedback

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Tracking control design for a wave equation with dynamic boundary conditions modeling a piezoelectric stack actuator

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2011年第5期21卷 542-562页

作者： Meurer, T. Kugi, A. Vienna Univ Technol Automat & Control Inst A-1040 Vienna Austria

This paper is concerned with the design of an asymptotically stabilizing tracking controller for an undamped wave equation modeling a piezoelectric stack actuator. For this, flatness-based methods for trajectory planning and feedforward control are combined with dynamic feedback control involving a Luenberger-type observer within the two degrees-of-freedom control concept. The asymptotic stability of the closed-loop system is verified using Lyapunov's stability theory and LaSalle's invariance principle. Thereby, a separation theorem is introduced for bounded perturbations of infinitesimal generators of asymptotically stable C-0-semigroups. Finally, the tracking performance is illustrated in simulation scenarios. Copyright (C) 2010 John Wiley & Sons, Ltd.

关键词： tracking control boundary control distributed-parameter system differential flatness asymptotic stability trajectory planning passivity separation principle piezoelectric stack actuator

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Flatness-based trajectory planning for diffusion-reaction systems in a parallelepipedon-A spectral approach

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AUTOMATICA 2011年第5期47卷 935-949页

作者： Meurer, Thomas Vienna Univ Technol Automat & Control Inst A-1040 Vienna Austria

Spectral analysis is considered for the flatness-based solution of the trajectory planning problem for a boundary controlled diffusion-reaction system defined on a 1 <= r-dimensional parallelepipedon. By exploiting the Riesz spectral properties of the system operator, it is shown that a suitable reformulation of the resolvent operator allows a systematic introduction of a basic output, which yields a parametrization of both the system state and the boundary input in terms of differential operators of infinite order. Their convergence is verified for both infinite-dimensional and finite-dimensional actuator configurations by restricting the basic output to certain Gevrey classes involving non-analytic functions. With this, a systematic approach is introduced for basic output trajectory assignment and feedforward tracking control towards the realization of finite-time transitions between stationary profiles. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： distributed-parameter system Trajectory planning Feedforward control Boundary control Riesz spectral system Spectral analysis Differential flatness Entire functions Fourier series Gevrey class Infinite-dimensional systems

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Introduction to diffusive representation

Introduction to diffusive representation

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4th IFAC Symposium on system, Structure and Control, SSSC 2010

作者： Casenave, C. Montseny, G. CNRS LAAS 7 avenue du colonel Roche F-31077 Toulouse France ISAE INSA Université de Toulouse F-31077 Toulouse France

ISBN: (纸本)9783902661838

Diffusive representation is an operator theory elaborated during the last years. It is devoted to time-nonlocal problems, allowing significant simplifications for analysis and numerical realization of integral time operators encountered in many physical situations. Namely, most of the shortcomings induced by time-nonlocal formulations are by-passed by use of suitable time-local state realizations deduced from diffusive representation and whose numerical approximations are straightforward, thanks to good properties of diffusion equations. In this paper, we introduce the notion of diffusive representation and its dual one: the diffusive symbol, and we briefly describe the associated mathematical framework and numerical techniques. The interest of this approach is highlighted by numerical examples. © 2010 IFAC.

关键词： Causal operator Convolution integral distributed-parameter system Distribution Dynamic system State-space realization Symbol

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Introduction to Diffusive Representation

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IFAC Proceedings Volumes 2010年第21期43卷 370-377页

作者： C. Casenave G. Montseny CNRS LAAS 7 avenue du colonel Roche F-31077 Toulouse France Université de Toulouse UPS INSA INP ISAE F-31077 Toulouse France.

关键词： Causal operator State-space realization Distribution Symbol Convolution integral Dynamic system distributed-parameter system

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Frequency- and Time-Domain Analysis of a Simple Pipeline system

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IFAC Proceedings Volumes 2009年第13期42卷 366-371页

作者： Krzysztof Bartecki Opole University of Technology Department of Electrical Control and Computer Engineering Institute of Control and Computer Engineering ul. Sosnkowskiego 31 45-272 Opole Poland

Abstract Pipelines are commonly used for the transportation of water and many chemical products. Steady-state models are widely used to design pipelines as well as in the leak detection and localization methods. However, pipelines operations are inherently transient in their nature, which suggests the need for application of dynamic models. In this paper a mathematical model of a simple pipeline system is considered. Pipeline frequency and time responses are determined and presented in the form of two- and three-dimensional plots, taking into account spatially distributed nature of the process. Owing to the transcendental form of the obtained pipeline transfer function, these responses reveal certain peculiarities, closely associated with wave phenomena taking place inside the pipe.

关键词： pipeline distributed-parameter system transfer function frequency response time response

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Model inversion of boundary controlled parabolic partial differential equations using summability methods

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MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL systemS 2008年第3期14卷 213-230页

作者： Meurer, T. Zeitz, M. Vienna Univ Technol Automat & Control Inst A-1040 Vienna Austria Univ Stuttgart Inst Syst Dynam D-70569 Stuttgart Germany

The combination of formal power series and appropriate summability methods is considered for the inversion of the non-linear, distributed-parameter model of a boundary controlled tubular reactor. The inversion is performed in order to realize the tracking of certain prescribed output trajectories in open-loop control. Simulation results illustrate the applicability of the design approach for the example of finite-time transitions between set-points for a tubular bioreactor.

关键词： model inversion distributed-parameter system differential flatness formal power series summability methods feedforward tracking control trajectory planning tubular reactor

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